A numerical study of a first order modular grad-div stabilization for the magnetohydrodynamics equations

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dc.contributor.authorAkbas, Mine
dc.date.accessioned2024-07-12T20:47:09Z
dc.date.available2024-07-12T20:47:09Z
dc.date.issued2021en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis paper proposes a stabilization method to approximate analytical solutions of magnetohydrodynamics (MHD) equations. The method adds two modular grad-div steps into fully-discrete finite element MHD solver. The main idea in these intrusive steps is to penalize the divergence of the velocity/magnetic fields both in L2 and H1-norms. The paper confirms the optimal convergence of the method, and gives numerical experiments which reveal positive effect of the method as in the usual grad-div stabilizationen_US
dc.identifier.citationAkbas, M. (2021). A numerical study of a first order modular grad-div stabilization for the magnetohydrodynamics equations. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.en_US
dc.identifier.endpage4en_US
dc.identifier.isbn978-0-7354-4078-4
dc.identifier.startpage1en_US
dc.identifier.urihttps://aip.scitation.org/doi/10.1063/5.0042578
dc.identifier.urihttps://hdl.handle.net/20.500.12415/1942
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofFourth International Conference of Mathematical Sciencesen_US
dc.relation.isversionof10.1063/5.0042578en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07362
dc.subjectModular grad-diven_US
dc.subjectmixed finite element methoden_US
dc.subjectmagnetohydrodynamicsen_US
dc.titleA numerical study of a first order modular grad-div stabilization for the magnetohydrodynamics equationsen_US
dc.typeConference Object
dspace.entity.typePublication

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